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Simplifying 30x2 + 216x2 + 216x = 0 Reorder the terms: 216x + 30x2 + 216x2 = 0 Combine like terms: 30x2 + 216x2 = 246x2 216x + 246x2 = 0 Solving 216x + 246x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(36 + 41x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(36 + 41x)' equal to zero and attempt to solve: Simplifying 36 + 41x = 0 Solving 36 + 41x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 41x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 41x = 0 + -36 41x = 0 + -36 Combine like terms: 0 + -36 = -36 41x = -36 Divide each side by '41'. x = -0.8780487805 Simplifying x = -0.8780487805Solution
x = {0, -0.8780487805}
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